LIMIT LAWS AND MANTISSA DISTRIBUTIONS
Abstract: There are two main parts to the paper, both connected to Benford’s Law. In the first,
we present a generalization of the averaging theorem of Flehinger. In the second, we study
the connection between multiplicative infinite divisibility and Benford’s Law, ending with a
variant of the Lindeberg-Feller theorem that describes a rather specific triangular array model
leading to Benford behavior.
2000 AMS Mathematics Subject Classification: 60F05, 60E07.
Key words and phrases: Benford’s Law, mantissa, Flehinger’s theorem, lognormal,
uniform, triangular array.